Compound Inequalities

Front

Define compound inequality.

Back

A compound inequality is an inequality that combines two or more simple inequalities using the words 'and' or 'or'.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

Solve the compound inequality: -3 ≤ 2x - 1 ≤ 5.

Back

-1 ≤ x ≤ 3.

Front

What is the solution set for the inequality: 6 > x?

Back

The solution set is all real numbers less than 6.

Front

Write the compound inequality for the graph that shows -2 ≤ x ≤ 5.

Back

-2 ≤ x ≤ 5.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'.

Front

Solve the compound inequality: -4x + 1 ≤ 21 and 5x + 2 < 22.

Back

x ≥ -5 and x < 4.

Front

What is the difference between 'and' and 'or' in compound inequalities?

Back

'And' means both conditions must be true, while 'or' means at least one condition must be true.

Front

Solve the inequality: 3x + 2 < -7.

Back

x < -3.

Front

Solve the inequality: -4x + 5 < 1.

Back

x > 1.